Question

Protein and carbohydrates provide$\mathbf{4}\mathbf{.}\mathbf{0}\mathbf{Cal}\mathbf{/}\mathbf{g}$, whereas fat gives $\mathbf{9}\mathbf{.}\mathbf{0}\mathbf{Cal}\mathbf{/}\mathbf{g}$. (Remember that 1 Calorie , with a capital C, is really $\mathbf{1}\mathbf{kcal}$.) The weight percentages of these components in some foods are

Calculate the number of calories per gram and calories per ounce in each of these foods. (Use Table 1-4to convert grams into ounces, remembering that there are 16ounces in 1pound.)

Short answer

Shredded wheat:

calories per gram: $3.556\mathbf{Cal}\mathbf{/}\mathbf{g}$

calories per ounce:$100.74\mathbf{Cal}\mathbf{/}\mathbf{ounce}$

Doughnut:

calories per gram:$3.914\mathbf{Cal}\mathbf{}\mathbf{/}\mathbf{g}$

calories per ounce:$110.88\mathbf{}\mathbf{Cal}\mathbf{/}\mathbf{ounce}$

Hamburger:

calories per gram:$\mathbf{2}\mathbf{.}\mathbf{795}\mathbf{}\mathbf{Cal}\mathbf{/}\mathbf{g}$

calories per ounce:$79.18\mathbf{Cal}/\mathrm{ounce}$

Apple:

calories per gram: $0.480\mathbf{Cal}\mathbf{/}\mathbf{g}$

calories per ounce:$3.598\mathbf{Cal}/ounce$

Step-by-step solution

Definition of calorie.

The amount of heat necessary to increase the temperature of one gram of water by one degree Celsius at a pressure of one atmosphere, which is equivalent to around 4.19 joules is oxidized in the body, a unit corresponding to the big calorie representing the heat-producing or energy-producing value in food an amount of food with an energy-producing value of one large calorie.

Finding the number of calories per gram and calories per ounce.

Protein and carbs are widely known to offer $4Cal/mg$, whereas fat provides $9Cal/mg$. Here's a table with the weight percentages of various ingredients in several foods, so figure out how many calories are in each gram and per serving.

From Table 1-4 we can see that$1g=0.0353$ ounce so we can calculate the following with:

$$\begin{gathered} \mathbf{Cal}\mathbf{/}\mathbf{g}=(\mathbf{wt}\%/100(\mathbf{}\mathbf{protein})\times 4\mathbf{Cal}\mathbf{/}\mathbf{g})+(\mathbf{wt}\%/100(\mathbf{}\mathbf{carbohydrate})\times 4\mathbf{Cal}\mathbf{/}\mathbf{g})+(\mathbf{wt}\%/100(\mathbf{fat})\times 9\mathbf{Cal}\mathbf{/}\mathbf{g}) \\ Cal/ounce=\mathbf{Cal}\mathbf{/}\mathbf{g}\times 1/0.0353 \end{gathered}$$

1. Shredded wheat:

-calories per gram: $(0.099\times 4\mathbf{Cal}\mathbf{/}\mathbf{g})+(0.79\times 4\mathbf{Cal}\mathbf{/}\mathbf{g})=3.556\mathbf{Cal}\mathbf{/}\mathbf{g}$

-calories per ounce:$3.556\mathbf{Cal}\mathbf{/}\mathbf{g}\times 1/0.0353=100.74\mathbf{Cal}\mathbf{/}\mathrm{ounce}$

2. Doughnut:

-calories per gram: $(0.046\times 4\mathbf{Cal}\mathbf{/}\mathbf{g})+(0.514\times 4\mathbf{Cal}\mathbf{/}\mathbf{g}\mathbf{)}+(0.186\times 9\mathbf{Cal}\mathbf{/}\mathbf{g})=3.914\mathbf{Cal}\mathbf{/}\mathbf{g}$

-calories per ounce:$3.914\mathbf{Cal}\mathbf{/}\mathbf{g}\times 1/0.0353=110.88\mathbf{Cal}/ounce$

3. Hamburger:

-calories per gram:$(0.242\times 4\mathbf{Cal}\mathbf{/}\mathbf{g}\mathbf{)}+(0.203\times 9\mathbf{Cal}\mathbf{/}\mathbf{g})=2.795\mathbf{Cal}\mathbf{/}\mathbf{g}$

-calories per ounce:$2.795\mathbf{Cal}\mathbf{/}\mathbf{g}\times 1/0.0353=79.18\mathbf{Cal}/ounce$

4. Apple:

-calories per gram:$(0.12\times 4\mathbf{Cal}\mathbf{/}\mathbf{g})=0.480\mathbf{Cal}\mathbf{/}\mathbf{g}$

-calories per ounce: $0.48\mathbf{Cal}\mathbf{/}\mathbf{g}\times 1/0.0353=13.598\mathbf{Cal}/ounce$